What is the Least Common Multiple of 58857 and 58864?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 58857 and 58864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58857 and 58864, than apply into the LCM equation.

GCF(58857,58864) = 1
LCM(58857,58864) = ( 58857 × 58864) / 1
LCM(58857,58864) = 3464558448 / 1
LCM(58857,58864) = 3464558448

Least Common Multiple (LCM) of 58857 and 58864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58857 and 58864. First we will calculate the prime factors of 58857 and 58864.

Prime Factorization of 58857

Prime Factorization of 58864

Now multiplying the highest exponent prime factors to calculate the LCM of 58857 and 58864.

LCM(58857,58864) = 3¹ × 23¹ × 853¹ × 2⁴ × 13¹ × 283¹
LCM(58857,58864) = 3464558448